Answer:
Median = 13
Step-by-step explanation:
We are given the following data:
16, 15, 13, 12, 17, 14, 11, 9, 11
Formula:
[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]
Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17
Median =
[tex]=\dfrac{9+1}{2}^{th} = 5^{th}\text{ term} = 13[/tex]
Thus, the median of the given data is 13.